[15 points] Take the region bounded by y = x1/2, y = 2x1/2, y = x 1/2 and y = 2x-1/2. a) Sketch the region in the xy-plane b) Find the Jacobian of the transformation u = =1/2 and v = yx1/2 a (x, y ) Hint: You can either solve for x(u, v) andy(u, v) or use the relationship J - a(u.) a(x,y) = 1/ a(u,v) found in the book c) Sketch the region in the uv-plane d) Using the transformation from (b), find the area of the region. Simplify this answer as much as possible. Hint: 26 = 64 and 25 = 32